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CIFE Center for Integrated Facility <strong>Engineering</strong> •<strong>Stanford</strong> University<br />

CIFE Seed <strong>Proposal</strong> Summary Page<br />

2005-2006 Projects<br />

<strong>Proposal</strong> Title: Computational Modeling of Nonadaptive Crowd Behaviors<br />

for Egress Analysis<br />

Principal Investigator(s): Kincho H Law, Jean-Claude Latombe,<br />

and Ken Dauber.<br />

<strong>Research</strong> Staff: Xiaoshan Pan<br />

<strong>Proposal</strong> Number: (Assigned by CIFE): 200501<br />

Total Funds Requested: $69,191<br />

First Submission?<br />

No If extension, project URL:<br />

http://eil.stanford.edu/egress/<br />

Abstract (up to 150 words):<br />

Safe egress is one of the key design issues identified by facility planners, managers and<br />

inspectors. Current computational tools for the simulation and design of emergency<br />

egress rely heavily on assumptions about human individual and social behaviors, which<br />

have been found to be oversimplified, inconsistent and even incorrect. This research<br />

aims to develop a framework for modeling human and social behaviors from the<br />

perspectives of human decision-making and social interaction and to incorporate such<br />

behaviors in a dynamic computational model suitable for emergency egress analysis.<br />

For the year-1 project, we have developed a theoretical framework of crowd behavior<br />

and a proof-of-concept, multi-agent based crowd simulation model. In the year-2 project,<br />

we plan to study the scalability and modularity issues of the simulation framework, to<br />

validate the models, and to incorporate engineering analyses, such as performancebased<br />

assessment of facilities, design of egress and emergency plans.<br />

Law, Latombe, Dauber Egress Simulation 1


Computational Modeling of Nonadaptive Crowd<br />

Behaviors for Egress Analysis<br />

1. ENGINEERING PROBLEM<br />

The main objective of this research is to develop a computational framework that can<br />

facilitate the study of human and social behavior for emergency exits in buildings and<br />

facilities. Design of egress for places of public assembly is a formidable problem in facility<br />

and safety engineering. Although provisions governing egress design are prescribed in<br />

code, the actual performance of evacuation systems is difficult to assess. There have<br />

been numerous incidents reported regarding overcrowding and crushing during<br />

emergency situations. In addition to injuries and loss of lives, the accompanying postdisaster<br />

psychological suffering, financial loss, and adverse publicity have long-term<br />

negative effects on the individuals and organizations – the survivors, the victims’ families,<br />

the corporations involved and the communities [1].<br />

In a crowded environment, it has been observed that most victims were injured or killed<br />

by the so called “nonadaptive” behaviors of the crowd, rather than the actual cause (such<br />

as fire or explosion) of the disaster. Nonadaptive crowd behaviors refer to the destructive<br />

actions that a crowd may experience in emergency situations, such as stampede,<br />

pushing, knocking, and trampling on others, etc.; these actions are responsible for a large<br />

number of injuries and deaths in man-made and natural disasters. For example, in the<br />

Iroquois Theatre fire (in 1903), the initial fire was brought under control quickly; however,<br />

602 people were trampled to death in the end. Another example is the Hillsborough<br />

English FA Cup Stampede (in 1981); there were no real causes of emergency but still 95<br />

people died and over 400 people were injured. To study nonadaptive behavior in a<br />

crowded environment, we need to take into consideration the human and social behavior<br />

in emergency situation from both psychological and sociological perspectives.<br />

Building codes contain “means of egress” provisions designed to ensure the safety of a<br />

building [2]. However, these codes only provide basic guidelines and are not exhaustive<br />

and often insufficient for many practical situations [7]. First, current codes and guidelines<br />

contain inconsistencies which may lead to misinterpretations. An effective computational<br />

tool can test whether a specific guideline is appropriate for a particular situation. Second,<br />

each building is unique, and compliance with design guidelines does not automatically<br />

ensure safety. Often, local geometries – shapes and sizes of spaces and obstacles –<br />

can have significant influence to egress, albeit in a subtle way. To date, very few studies<br />

can be found in existing literature in terms of understanding how environmental<br />

constraints and local geometries impact crowd behaviors and movements. This type of<br />

studies is difficult since it often requires exposing real people to the actual, possibly<br />

dangerous, environment. A good computational tool which takes into consideration of<br />

human and social behavior of a crowd could serve as a viable alternative. Computational<br />

tools are now commercially available for the simulation and design of emergency<br />

evacuation and egress. However, these tools focus on the modeling of spaces and<br />

occupancies and aim mostly to animate crowd movements but they rarely take into<br />

consideration human and crowd behaviors.<br />

This research proposes to study human behaviors and social interactions, and to<br />

incorporate such behaviors in a dynamic computational model suitable for safe egress<br />

Law, Latombe, Dauber Egress Simulation 2


analysis. The computational model will be able to adapt egress analysis suitable for<br />

specific design circumstances and provide insight to current prescriptive and often,<br />

ambiguous codes and provisions for egress design. Also, the model can serve as a<br />

means to study safety engineering, such as assessing building codes and designs,<br />

testing safety and evacuation procedures, and crowd management.<br />

For the year-1 seed project, we have so far developed a theoretical framework of crowd<br />

behavior and built a proof-of-concept crowd simulation model. In the year-2 project, we<br />

plan to study the scalability and modularity issues of the simulation framework, to<br />

validate the models, and to incorporate engineering analyses, such as performancebased<br />

assessment of facilities, design of egress and emergency plans.<br />

2. POINTS OF DEPARTURE<br />

The proposed research will build upon the current understanding of nonadaptive crowd<br />

behavior in emergencies. Generally speaking, existing theories on crowd behavior in<br />

emergency situation can be classified into three basic categories: (1) panic [9-12], (2)<br />

decision-making [13,14], and (3) urgency levels [15]:<br />

• Panic theories deal primarily with the factors that may cause panic during<br />

emergencies. The basic premise is that when people perceive danger, their usual<br />

conscious personalities are often replaced by the unconscious personalities which in<br />

turn lead them to act irrationally unless there is a presence of a strong positive social<br />

(such as a leader) influence.<br />

• Decision-making theories assume that a person, even under dangerous situation, can<br />

still make (albeit limited) rational decisions, attempting to achieve good outcomes and<br />

objectives in the situation [14]. These “rational” decisions however may or may not<br />

improve the overall emergency evacuation. In a situation such as a fire, cooperating<br />

with others and waiting one’s own turn can likely be beneficial to the group and, in<br />

turn, increasing the individual’s likelihood of exiting a facility. On the other hand, if<br />

some people are pushing, then an individual may feel threatened if he/she does not<br />

react; the best course of action for the individual may be to join the competition and<br />

push, in order to maximize his/her chance of exiting.<br />

• Another theory suggests that the occurrence of (human) blockages of exiting space<br />

depends on the levels of urgency to exit [15]. There are three crucial factors that<br />

could lead to such situation: the severity of the penalty and consequence for not<br />

exiting quickly, the time available to exit, and the group size. A problem arises when<br />

the urgency to leave reaches a high level of anxiety – for example, too many people<br />

try to exit quickly at the same time. Thus, any efforts that can reduce the number of<br />

people having a high urgency to leave will likely cause a decrease in jams and less<br />

entrapment.<br />

There have been a wide variety of computational tools, many of them are now<br />

commercially available, for egress simulation and design of exits. Most existing models<br />

can be categorized into fluid or particle systems, matrix-based systems, and emergent<br />

systems:<br />

• Many have considered the analogy between fluid and particle motions (including<br />

interactions) and crowd movement. Two typical examples of fluid or particle systems<br />

are the Exodus system [4] and the panic simulation system built by Helbing et al. [6].<br />

Coupling fluid dynamic and “self-driven” particle models with discrete virtual reality<br />

simulation techniques, these systems attempt to simulate and to help design<br />

evacuation strategies. However, as noted by Still [7], “the laws of crowd dynamics<br />

Law, Latombe, Dauber Egress Simulation 3


have to include the fact that people do not follow the laws of physics; they have a<br />

choice in their direction, have no conservation of momentum and can stop and start at<br />

will.” Fluid or particle analogies also contradict with some observed crowd behaviors,<br />

such as herding behavior, multi-directional flow, and uneven crowd density<br />

distribution.<br />

• The basic idea of a matrix-based system is to discretize a floor area into cells. Cells<br />

are used to represent free floor areas, obstacles, areas occupied by individuals or a<br />

group of people, or regions with other environmental attributes. People transit from<br />

cell to cell based on occupancy rules defined for the cells. Two well known examples<br />

of the matrix-based systems are Egress [3] and Pedroute [5], which have been<br />

applied to simulate evacuation in buildings as well as train (and underground)<br />

stations. It has been revealed that existing matrix-based models cannot simulate<br />

crowd cross flow and concourses; furthermore, the assumptions employed in these<br />

models are questionable when compared with field observations [7].<br />

• The concept of emergent systems is that the interactions among simple parts can<br />

simulate complex phenomena such as crowd dynamics [16]. One example of the<br />

emergent systems is the Legion system [7]. It should be noted that Legion was not<br />

designed as a crowd behavioral analysis system but an investigation tool for the study<br />

of large scale interactive systems. Current emergent systems typically oversimplify<br />

the behavioral representation of individuals. For example, the Legion system employs<br />

only four parameters (goal point, speed, distance from others, and reaction time) and<br />

one decision rule (based on assumption of the least effort) to represent the complex<br />

nature of individual behaviors. All individuals are considered to be the same in terms<br />

of size, mobility, and decision-making process. Finally, the model ignores many<br />

important social behaviors such as herding and leader influence.<br />

In summary, as noted by the Society of Fire Protection Engineers [8], “These<br />

[computational] models are attractive because they seem to more accurately simulate<br />

evacuations. However … they tend to rely heavily on assumptions and it is not possible to<br />

gauge with confidence their predictive accuracy,” and “the fundamental understanding of<br />

the sociological and psychological components of pedestrian and evacuation behaviors is<br />

left wanting [17].”<br />

3. PROPOSED RESEARCH<br />

3.1 <strong>Research</strong> Methods<br />

Figure 1 depicts the basic iterative approach undertaken to study the human and social<br />

behaviors and to develop a computational framework for egress simulation and analysis.<br />

The research starts with literature studies and field interviews on crowd behaviors in the<br />

areas of human decision-making, social interaction, safety engineering, and computer<br />

simulation. We then derive the variables, hypotheses, and human behavior rules and<br />

patterns, which are then formalized and incorporated into a multi-agent based simulation<br />

framework. The results are in turn analyzed to capture the patterns of crowd behavior.<br />

The research results are evaluated and validated through comparing with prior<br />

observations and historical cases as well as by practicing experts in the field. Observed<br />

and derived information are then incorporated to the framework for further simulation.<br />

Law, Latombe, Dauber Egress Simulation 4


Literature review,<br />

Data collection<br />

Extract variables<br />

and rules<br />

Observed behavior,<br />

Hypotheses<br />

Simulation<br />

model<br />

Analysis of results,<br />

“pattern extraction”<br />

Validation,<br />

Theory development<br />

Integration<br />

Figure 1: <strong>Research</strong> process<br />

Geom. Engine<br />

Population<br />

Generator<br />

Physical<br />

Geometry<br />

Individual<br />

Agents<br />

Crowd Simulation Engine<br />

Individual<br />

Behavior<br />

Model-1<br />

Individual<br />

Behavior<br />

Model-4<br />

Individual<br />

Behavior<br />

Model-2<br />

. . .<br />

Individual<br />

Behavior<br />

Model-3<br />

Individual<br />

Behavior<br />

Model-n<br />

Events<br />

Agents’<br />

Positions<br />

Events Recorder<br />

Visualizer<br />

Global Database<br />

(Global geometry information and the<br />

state information of the agents)<br />

Figure 2: System Architecture<br />

The proposed system architecture of the simulation framework is schematically shown in<br />

Figure 2. The current system is based on a multi-agent simulation framework which<br />

consists of five basic components: a Geometric Engine, a Population Generator, a Global<br />

Database, a Crowd Simulation Engine, an Events Recorder, and a Visualization<br />

Environment.<br />

• Geometric Engine: The purpose of this module is to produce the geometries<br />

representing the physical environments (e.g., a building or a train station, etc.).<br />

AutoCAD/ADT (Architectural Desktop Software from AutoDesk, Inc.) is employed in<br />

this study. The geometric data is sent to the Crowd Simulation Engine to simulate<br />

crowd behaviors.<br />

• Population Generator. This module generates virtual agents to represent a crowd<br />

based on the distribution of age, mobility, physical size, and type of facility (hospital,<br />

office building, train station, stadium, etc.) to be investigated. The population and its<br />

composition for each type of facility would be different. For example, we can assume<br />

most (not all) of the occupants in an office building will likely be familiar with the<br />

facility; on the other hand, the same assumption cannot be applied to a theme park.<br />

This module also generates random populations for statistical study of individual<br />

human behaviors and crowd behaviors.<br />

• The Global Database. The database module is to maintain all the information about<br />

the physical environment and the agents during the simulation. Although the multiagent<br />

system does not have a centralized system control mechanism, the state<br />

information (mental tension, behavior level, location) of the individuals are<br />

maintained. This database is also needed to support the interactions and reactions<br />

among the individuals.<br />

Law, Latombe, Dauber Egress Simulation 5


• The Events Recorder. This module is intended to capture the events that have been<br />

simulated for retrieval and playback. The events captured can be used to compare<br />

with known and archived scenarios for evaluation purpose.<br />

• The Visualizer. The visualization tool is to display the simulated results. We have<br />

developed a simple visualization environment that is able to receive the positions of<br />

the agents, and then generates and displays 2D/3D visual images.<br />

• The Crowd Simulation Engine. This module is the core module of the multi-agent<br />

simulation system. Each agent is assigned with an “individual behavior model” based<br />

on the data generated from population generator. The Individual Behavior Model is<br />

designed to represent an individual human’s decision-making process. Each agent<br />

responds to its environment using the decision rules and initiate actions and reactions<br />

accordingly. The internal mechanism of the Individual Behavior Model consists of the<br />

following iterative steps: (1) internally trigger for decision; (2) perceive information<br />

about the situation (i.e., crowd density, sensory input, tension level); (3) interpret<br />

and choose decision rule(s) to make a decision; (4) conduct collision check and<br />

execute the decision. Each autonomous agent will proceed to the (exit) goal<br />

subjected to the constraints imposed, acquire the behavior rules, select appropriate<br />

actions, interact with and update the Global Database as simulations proceed over<br />

time.<br />

In addition to the simulation of crowd behaviors, the outputs of the system will also<br />

include overall and individual evacuation time, individual paths, and blockage locations.<br />

The simulation system is designed with sufficient modularity to allow further investigation<br />

of crowd dynamics and incorporation of new behavior patterns and rules as they are<br />

discovered.<br />

3.2 Summary of <strong>Research</strong> Accomplishments and Further Investigations<br />

For the first year seed project, we have studied a number of fundamental issues and built<br />

a prototype system. The following briefly summarize our accomplishments so far in this<br />

project.<br />

• Thorough review of human and social behavior literatures in the field of psychology,<br />

sociology, safety engineering, and egress simulation. These literatures have<br />

confirmed the originality of the proposed work and supported the fundamental<br />

behavioral theories that are being investigated. Furthermore, a series of interviews<br />

with emergency personnel (fire marshals, police personnel, faculty members in social<br />

science, police science at <strong>Stanford</strong> University and other campuses). We have also<br />

evaluated a number of egress simulation tools (such as Exodus, Simulex, Egress,<br />

Pedroute, Legion and others) and “behavior animation” tools (such as Massive, Koga,<br />

etc..). The review so far has revealed the lack of human and social behavior in<br />

current simulation and animation systems.<br />

• Establishing a theoretical framework to study human and social behavior in<br />

emergencies. The framework dissects the study of complex human and social<br />

behavior into three interdependent levels: individual, interaction among individuals,<br />

and group. Some fundamental factors and behavior pattern of crowd behavior are<br />

identified and formalized for constructing a simulation framework. This theoretical<br />

framework will also allow us to further investigate the dynamic changes of behavior<br />

during an emergency situation.<br />

• Developed a proof-of-concept prototype to simulation some frequently observed<br />

crowd behaviors. A multi-agent based prototype has been built and is currently able<br />

to demonstrate some typical crowd behaviors such as competitive, queuing, herding<br />

behaviors and bi-directional crowd flow (as illustrated in Figure 3). Incorporating more<br />

Law, Latombe, Dauber Egress Simulation 6


ehaviors including some fatal overcrowding conditions are currently underway.<br />

Shortcomings of the current computational models have also been identified.<br />

Competitive behavior<br />

Queuing behavior<br />

Herding behavior<br />

Bi-directional crowd flow<br />

Figure 3: Some behavioral patterns demonstrated using the prototype.<br />

The research results so far have been accepted for publication and presentation at a<br />

number of academic and building engineering conferences [18-20]. These publications<br />

and the simulation results can be found in the project website:<br />

http://eil.stanford.edu/egress.<br />

Results from current prototype study are indeed encouraging, judging from the interviews<br />

with the safety personnel and comments received during the advisory meetings.<br />

However, much research efforts, ranging from the study of human and social behaviors to<br />

the development of simulation framework, remain. In addition to continuing the work<br />

described in the first year funding proposal, the second year seed project will include<br />

fundamental research study on the following critical issues:<br />

• So far, we have studied and incorporated some selected behaviors (competitive,<br />

herding, queuing, etc..). However, the so called “non-adaptive” behaviors, which are<br />

the causes of the injuries and fatalities, have not been formalized and systematically<br />

studied. This continuing effort will develop models that will include into consideration<br />

of pushing and other psychological factors (such as audible sounds).<br />

• While we have demonstrated the prototype system successfully with a population of<br />

over 400 agents, the scalability of the system will be a key issue that needs to be<br />

studied carefully. Fast algorithms developed in the AI and Robotics program of the<br />

CS department will be adopted to improve the sensory capabilities and the crowd<br />

Law, Latombe, Dauber Egress Simulation 7


movements. We envision that these fast algorithms can provide a scalable platform<br />

to handle thousands of agents for crowd simulation.<br />

• We envision that the prototype system will be extended and used to integrated with<br />

other engineering analyses, such as performance-based assessments of facilities and<br />

spaces, design of egress and safety/emergency plans. The framework is currently<br />

being re-designed to provide sufficient modularity for such integration.<br />

3.3 <strong>Research</strong> Impact<br />

In safety engineering, because few efforts have been conducted to study the core of<br />

crowd safety problem – nonadaptive crowd behavior – from human psychological and<br />

sociological perspectives, the proposed research is expected to fulfill this gap and will<br />

subsequently lead to significant contributions to the field of crowd safety research, which,<br />

due to recent natural and man-made events, is fast becoming an important issue in<br />

facility design. A simulation tool such as the one proposed can be used to help facility<br />

design, emergency exits, evacuation plan. In addition, these types of simulation can help<br />

develop a wider range of possible solution to crowd problems. The tool can provide<br />

valuable information to guide the planning process, for construction, to develop crowd<br />

management strategies and for dealing with emergencies.<br />

3.4 Milestones and Anticipated Risks<br />

We anticipate that by the end of the first year period, the basic issues related to “nonadaptive<br />

crowd behaviors” will be thoroughly reviewed and the prototype system will be<br />

re-designed for modularity and scalability. For the proposed second year research period<br />

from September 2005 through August 2006, the research milestones are set up as<br />

follows:<br />

• By the end of Fall Quarter 2005 – we plan to complete the preliminary implementation<br />

of a scalable simulation system, which allows (1) simulations for a significant number<br />

of agents in the crowd, and (2) predefined deterministic or random assignments of<br />

individuals in design spaces.<br />

• By the end of Winter Quarter 2006 – we plan to test and to complete the<br />

implementation so that we can compare the simulated results and replicate the<br />

patterns of some historical overcrowding incidents and case studies on some real-life<br />

crowd settings (e.g., sport events and subway stations).<br />

• By the end of Spring Quarter 2006 – we plan to analyze our findings and, if<br />

necessary, to develop a tool that will enable the analysis of large scale simulated<br />

results which may involve hundreds of randomized simulations for particular settings.<br />

• By the end of Summer Quarter 2006 – we plan to complete a detailed report on this<br />

study. Furthermore, we anticipate that we will produce a range of experimental<br />

results by applying the simulation system to assess the performance of a variety of<br />

real facilities.<br />

This research is a high-risk, high-payoff, interdisciplinary project (with participants from<br />

Civil <strong>Engineering</strong>, Computer Science and Sociology) that could lead to significant<br />

advancement in facility engineering and design. We anticipate the following risks:<br />

• Human and social behaviors are complex subjects. The crowd behavior model that<br />

we aim to develop may not be sufficiently general for a broad range of scenarios. We<br />

address this risk by design the system with sufficient flexibility and modularity to allow<br />

further investigation of crowd dynamics and incorporation of new behaviors as they<br />

are discovered.<br />

Law, Latombe, Dauber Egress Simulation 8


• The simulation of large number of crowds may require a significant amount of<br />

computations. We anticipate that a number of fast algorithms developed by the AI and<br />

Robotics group will be incorporated to ensure system scalability. If necessary, the<br />

PIs have significant experience in distributed and parallel computing research, and<br />

we do expect available computational platforms available to the PIs are sufficient to<br />

ensure the usability of the simulation systems.<br />

4. RELATIONSHIP TO CIFE GOALS<br />

Safe egress is one of the most critical issues in facility engineering and design. This<br />

research supports the “function” thrust area of this year’s Call For <strong>Proposal</strong> through<br />

developing a framework to help “assess how well the occupied facility meets the initial<br />

and then-current functional objectives” from safety engineering perspective. This<br />

research is highly interdisciplinary and can lead to immediate industrial applications,<br />

which closely match the CIFE mission.<br />

5. INDUSTRY INVOLVEMENT<br />

This project has received significant feedbacks from industries (e.g., Sydney Olympic<br />

Park, IR Security & Safety, and Disney) and other agencies. We will work with any<br />

organizations who have interests to be involved in our continuing research effort.<br />

6. NEXT STEPS<br />

<strong>Research</strong> proposal is currently under preparation for the new Human and Social<br />

Dynamics Program initiative from NSF. Furthermore, the PI is a member from <strong>Stanford</strong> in<br />

a pre-proposal for an NSF’s <strong>Engineering</strong> <strong>Research</strong> Center for Fire <strong>Engineering</strong> and<br />

Safety. We will continue to pursue government funding opportunities such as NSF, NIST,<br />

FEMA, Office of Homeland Security and others. This research towards the development<br />

of simulation system for emergency exits and egress design could have impact on<br />

emergency responses due to natural and man-made disasters. Successful demonstration<br />

of this research may lead to practical products needed by the industry.<br />

REFERENCES:<br />

[1] Lystad, M., Mental Health Response to Mass Emergencies: Theory and Practice,<br />

Brunner/Mazel, New York, 1988.<br />

[2] ICBO, “Means of Egress”, 2000 International Building Code, Chapter 10, pp. 211-<br />

247, 2000.<br />

[3] AEA Technology, A Technical Summary of the AEA EGRESS Code, Technical<br />

Report, AEAT/NOIL/27812001/002(R), Issue 1, 2002, available at http://www.aeatsafety-and-risk.com/Downloads/Egress%20Technical%20Summary.pdf.<br />

[4] Fire Safety <strong>Engineering</strong> <strong>Group</strong>, BuildingEXODUS: the Evacuation Model for the<br />

Building Environment, Sept. 2003, available at<br />

http://fseg.gre.ac.uk/exodus/air.html#build.<br />

[5] Halcrow <strong>Group</strong> Limited, Pedroute, Sept. 2003, available at<br />

http://www.halcrow.com/pdf/ urban_reg/pedrt_broch.pdf.<br />

[6] Helbing, D., Farkas, I., and Vicsek, T., “Simulating Dynamical Features of Escape<br />

Panic,” Nature, 407:487-490, 2000.<br />

[7] Still, G., Crowd Dynamics, Ph.D. thesis, University of Warwick, UK, 2000.<br />

[8] Society of Fire Protection Engineers, <strong>Engineering</strong> Guide to Human Behavior in Fire,<br />

Technical Report, 2002, available at<br />

http://www.sfpe.org/sfpe/pdfsanddocs/DraftHumanBehaviorGuide.pdf.<br />

[9] La Piere, R., Collective Behavior, McGraw-Hill, New York, 1938.<br />

Law, Latombe, Dauber Egress Simulation 9


[10] Le Bon, G., The Crowd, Viking, New York, 1960. (Original publication, 1895)<br />

[11] McDougall, W., The <strong>Group</strong> Mind, Cambridge University Press, Cambridge, UK,<br />

1920.<br />

[12] Smelser, N., Theory of Collective Behavior, Free Press, New York, 1963.<br />

[13] Brown, R., Social Psychology, Free Press, New York, 1965.<br />

[14] Mintz, A., “No-Adaptive <strong>Group</strong> Behavior,” Journal of Abnormal and Social<br />

Psychology, 46: 150-159, 1951.<br />

[15] Kelley, H., Condry, J., Dahlke, A, and Hill, A., “Collective Behavior in a Simulated<br />

Panic Situation,” Journal of Experimental Social Psychology, 1:20-54, 1965.<br />

[16] Epstein, J., and Axtell, R., Growing Artificial Societies: Social Science from the<br />

Bottom Up, MIT Press, Cambridge, MA, 1996.<br />

[17] Galea, E., (Ed.), Pedestrian and Evacuation Dynamics, Proceedings of 2 nd<br />

International Conference on Pedestrian and Evacuation Dynamics, London, UK,<br />

CMC Press, 2003.<br />

[18] Pan, X., Han, C., Dauber, K. and Law, K. "Human and Social Behavior in<br />

Computational Modeling and Analysis of Egress," BFC Doctoral Program, Las<br />

Vegas, March 16 - 17, 2005.<br />

[19] Pan, X., Han, C. and Law, K. "A Multi-agent Based Simulation Framework for the<br />

Study of Human and Social Behavior in Egress Analysis," The International<br />

Conference on Computing in Civil <strong>Engineering</strong>, Cancun, Mexico, July 12 - 15, 2005.<br />

[20] Pan, X., Han, C., Dauber, K. and Law, K. "A Multi-agent Based Framework for the<br />

Simulation of Human and Social Behaviors during Emergency Evacuations," Social<br />

Intelligence Design 2005, <strong>Stanford</strong> University, <strong>Stanford</strong>, USA, March 24 - 26, 2005.<br />

Law, Latombe, Dauber Egress Simulation 10


Project: CEE-FY05-290 --LAW: CIFE PROPOSAL BUDGET FOR 2005-2006<br />

Department: Civil <strong>Engineering</strong><br />

Principal Investigator: LAW, KINCHO (Prof) - CE<br />

Administrator: L. Unerdem<br />

Period 1 All Periods<br />

10/01/05 - 9/30/2006 10/01/05 - 09/30/06<br />

% Amount Total Amount<br />

Salaries<br />

Senior Personnel<br />

Law, Kincho (Prof) acad 0 0 0<br />

smmr 16 6,823 6,823<br />

Latombe, J. (Prof) acad 0 0 0<br />

smmr 8 4,477 4,477<br />

Dauber, Kenneth (Assoc Dir) cal 3 3,787 3,787<br />

Graduate Students<br />

PhD Student, CE (Res Asst) acad 50 21,154 21,154<br />

smmr 50 7,052 7,052<br />

Total Salaries 43,293 43,293<br />

Benefits<br />

Faculty 4,783 4,783<br />

Graduate 959 959<br />

Total Salaries and Benefits 49,035 49,035<br />

Travel, Domestic<br />

Domestic Travel 1,500 1,500<br />

Costs Not Subject to IDC Costs<br />

Tuition<br />

Tuition 18,656 18,656<br />

Total Direct Costs 69,191 69,191<br />

Modified Total Direct Costs 50,535 50,535<br />

University IDC Costs<br />

Annual Amount Requested 69,191 69,191<br />

Rates Used in Budget Calculations<br />

Benefit Rates<br />

Faculty: UFY06 31.70%; UFY07 31.70%;<br />

Graduate: UFY06 03.40%; UFY07 03.40%;<br />

Indirect Cost Rate<br />

Special Rate: UFY06 00.00%; UFY07 00.00%;<br />

Law, Latombe, Dauber Egress Simulation 11

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